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1104310031200 = 255217419193793
BaseRepresentation
bin10000000100011110000…
…000011101001101100000
310220120102021011001000221
4100010132000131031200
5121043111331444300
62203151340252424
7142532555250115
oct20043600351540
93816367131027
101104310031200
11396376250252
1215a033241114
138019c9ca5ac
143b63da8290c
151dad406731a
hex1011e01d360

1104310031200 has 144 divisors (see below), whose sum is σ = 2861306395920. Its totient is φ = 414745886720.

The previous prime is 1104310031197. The next prime is 1104310031203. The reversal of 1104310031200 is 21300134011.

It is an interprime number because it is at equal distance from previous prime (1104310031197) and next prime (1104310031203).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104310031203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5601504 + ... + 5795296.

It is an arithmetic number, because the mean of its divisors is an integer number (19870183305).

Almost surely, 21104310031200 is an apocalyptic number.

1104310031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104310031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430653197960).

1104310031200 is an abundant number, since it is smaller than the sum of its proper divisors (1756996364720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1104310031200 is a wasteful number, since it uses less digits than its factorization.

1104310031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194249 (or 194236 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1104310031200 its reverse (21300134011), we get a palindrome (1125610165211).

The spelling of 1104310031200 in words is "one trillion, one hundred four billion, three hundred ten million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 419 425 544 680 800 838 850 1360 1676 1700 2095 2720 3352 3400 4190 6704 6800 7123 8380 10475 13408 13600 14246 16760 20950 28492 33520 35615 41900 56984 67040 71230 83800 113968 142460 167600 178075 193793 227936 284920 335200 356150 387586 569840 712300 775172 968965 1139680 1424600 1550344 1937930 2849200 3100688 3294481 3875860 4844825 5698400 6201376 6588962 7751720 9689650 13177924 15503440 16472405 19379300 26355848 31006880 32944810 38758600 52711696 65889620 77517200 81199267 82362025 105423392 131779240 155034400 162398534 164724050 263558480 324797068 329448100 405996335 527116960 649594136 658896200 811992670 1299188272 1317792400 1380387539 1623985340 2029981675 2598376544 2635584800 2760775078 3247970680 4059963350 5521550156 6495941360 6901937695 8119926700 11043100312 12991882720 13803875390 16239853400 22086200624 27607750780 32479706800 34509688475 44172401248 55215501560 64959413600 69019376950 110431003120 138038753900 220862006240 276077507800 552155015600 1104310031200